121100121020 has 96 divisors (see below), whose sum is σ = 270219264000. Its totient is φ = 45458993664.

The previous prime is 121100121017. The next prime is 121100121029. The reversal of 121100121020 is 20121001121.

121100121020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121100121020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121100120992 and 121100121010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39716456 + ... + 39719504.

It is an arithmetic number, because the mean of its divisors is an integer number (2814784000).

Almost surely, 2^121100121020 is an apocalyptic number.

121100121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121100121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135109632000).

121100121020 is an abundant number, since it is smaller than the sum of its proper divisors (149119142980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121100121020 is a wasteful number, since it uses less digits than its factorization.

121100121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121100121020 its reverse (20121001121), we get a palindrome (141221122141).

The spelling of 121100121020 in words is "one hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, twenty".